What is 2/17 as a Decimal?

Fraction to Decimal Converter

What is 2/17 as a decimal?

Answer

Fraction 2/17 as a decimal is

0.1176470588235294

≈ 0.12 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 1176470588235294 — 16 digits repeat forever

remainder	×10	= digit × 17 + new remainder	digit
2	20	1 × 17 + 3	1
3	30	1 × 17 + 13	1
13	130	7 × 17 + 11	7
… 11 more division steps …
16	160	9 × 17 + 7	9
7	70	4 × 17 + 2	4

Remainder 2 is back after the 16th division → the 16 digits 1176470588235294 repeat: 0.1176470588235294.

Fraction 2/17 as a decimal is 0.(1176470588235294)

To convert 2/17 to a decimal, divide the numerator by the denominator: 2 ÷ 17 = 0.(1176470588235294).

In lowest terms its denominator 17 has the prime factor 17, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 2/17 ≈ 11.76%.